Quantum stopping times stochastic integral in the interacting Fock space

2015 ◽  
Vol 56 (8) ◽  
pp. 083508
Author(s):  
Yuanbao Kang
Keyword(s):  
Fock Space ◽  
Stochastic Integral ◽  
Stopping Times ◽  
Interacting Fock Space

scholarly journals Interacting Fock spaces and subproduct systems

2020 ◽  
Vol 23 (03) ◽  
pp. 2050017
Author(s):  
Malte Gerhold ◽  
Michael Skeide
Keyword(s):  
Selfadjoint Operator ◽  
Operator Algebras ◽  
Fock Space ◽  
Fock Spaces ◽  
Full Generality ◽  
Necessary And Sufficient Criteria ◽  
Definition Of ◽  
Interacting Fock Space ◽  
Necessary And Sufficient

We present a new more flexible definition of interacting Fock space that allows to resolve in full generality the problem of embeddability. We show that the same is not possible for regularity. We apply embeddability to classify interacting Fock spaces by squeezings. We give necessary and sufficient criteria for when an interacting Fock space has only bounded creators, giving thus rise to new classes of non-selfadjoint and selfadjoint operator algebras.

An experimental scheme to generate nonclassical states in interacting Fock space

2015 ◽  
Vol 29 (22) ◽  
pp. 1550125
Author(s):  
P. K. Das ◽  
Prasanta Haldar
Keyword(s):  
Fock Space ◽  
Quantum States ◽  
Nonclassical States ◽  
Experimental Scheme ◽  
Interacting Fock Space ◽  
Creation Operators

An experimentally realizable scheme is considered for manipulating quantum states using a general superposition (SUP) of products of interacting annihilation and creation operators. Application of such an operation on states with classical features introduces strong nonclassicality. This provides the possibility of engineering quantum states with nonclassical features.

TIME EVOLUTION OF THE PHASE OPERATOR IN INTERACTING FOCK SPACE

2004 ◽  
Vol 18 (16) ◽  
pp. 2287-2305
Author(s):  
P. K. DAS
Keyword(s):  
Electromagnetic Field ◽  
Time Evolution ◽  
Fock Space ◽  
Single Mode ◽  
Phase Operator ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Level Atom ◽  
Rotating Wave ◽  
Interacting Fock Space

Here we discuss interaction of a single two-level atom with a single mode of interacting electromagnetic field in the Jaynes–Cummings model with the rotating wave approximation.

SCALING LIMIT FOR GIBBS STATES OF JOHNSON GRAPHS AND RESULTING MEIXNER CLASSES

2003 ◽  
Vol 06 (01) ◽  
pp. 139-143 ◽  
Author(s):  
AKIHITO HORA
Keyword(s):  
Fock Space ◽  
Gibbs State ◽  
Scaling Limit ◽  
Temperature Limit ◽  
Zero Temperature ◽  
Johnson Graph ◽  
Meixner Polynomials ◽  
Johnson Graphs ◽  
The One ◽  
Interacting Fock Space

Asymptotic behavior of spectral distribution of the adjacency operator on the Johnson graph with respect to the Gibbs state is discussed in infinite volume and zero temperature limit. The limit picture is drawn on the one-mode interacting Fock space associated with Meixner polynomials.

Glauber dynamics on the cycles: Spectral distribution of the generator

2015 ◽  
Vol 18 (01) ◽  
pp. 1550002
Author(s):  
Chul Ki Ko ◽  
Sang Don Park ◽  
Hyun Jae Yoo
Keyword(s):  
Spectral Measure ◽  
Spectral Distribution ◽  
Probability Space ◽  
Fock Space ◽  
Glauber Dynamics ◽  
Vacuum State ◽  
Infinite Chain ◽  
Interacting Fock Space

We consider Glauber dynamics on finite cycles. By introducing a vacuum state we consider an algebraic probability space for the generator of the dynamics. We obtain a quantum decomposition of the generator and construct an interacting Fock space. As a result we obtain a distribution of the generator in the vacuum state. We also discuss the monotonicity of the moments of spectral measure as the couplings increase. In particular, when the couplings are assumed to be uniform, as the cycle grows to an infinite chain, we show that the distribution (under suitable dilation and translation) converges to a Kesten distribution.

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